## Presentation on theme: "Mathematics Instructional Design, Delivery,"— Presentation transcript

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Mathematics Instructional Design, Delivery, and Assessment

Grades K-2ISBE Math Foundational ServicesJune 2016Slide2

Mathematics Instructional Design, Delivery, and Assessments Pre PostI can use the Math Implementation Guides to drive curricular decisionsI can facilitate a number talk in a math classroom utilizing the IL Teach and

Talk I can assess using open-ended questions representative of the instructional shifts for Math I can embed the PARCC Formative Assessment Tasks where appropriate in my curriculum throughout the year I can use appropriate models of instruction in the K-2 classroom including mental strategies, manipulatives and elementary algorithms based on place value (K-2 only)Slide3

Professional Learning StandardsResources: We will show you how to find and use the ILTeachandTalk.org and PRC.PARCConline.org.Learning Design: Integrate the theories of Number Talks and Re-engagement Lessons in student learning.Implementation:

We continue on the path of implementing the Illinois Learning Standards.Slide4

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Look at the K-2 Implementation Guides.

Read through Primary Resources, Materials (Curriculum) and Classroom Culture.

Consider where you are in your implementation. Slide6

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The

National Council of Teachers of Mathematics (NCTM) in their 1991 professional standards describesdiscourse as ways of representing, thinking, talking, agreeing, and disagreeing; the way ideas are exchanged and what the ideas entail; and as being shaped by the tasks in which students engage as well as by thenature of the learning environment. Slide8

Math Talks

In your Table Groups discuss: What are some main components of a Math Talk?How do you do a Math Talk?Slide9

Kindergarten number talkhttps://www.teachingchannel.org/videos/visualizing-number-combinationsSlide10

Pairs that make 10 Formative TaskSlide11

Getting Started

Teacher poses a purposeful problemStudents signal when they are ready to give a solutionTeacher collects answers orally

Students explain or defend their answer

Teacher records student

strategies

Teacher asks questions to facilitate Mathematical Discourse

Class comes

to consensus Slide12

Opportunity for application

Why reinvent the wheel?Il Math Teach and Talk http://www.ilteachandtalk.org/

Take some time to review and then choose a standard and a ppt slide

Pick someone's at the table to do. Slide13

5 + 9 + 5

5 + 6 + 5

5 + 5Slide14

Teacher Evaluation

Math Talks

Growth Mindset

Rigor

Fluency

AssessmentSlide15

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Planning a Number Talk

Anticipate different strategiesRecording MethodsQuestions

Reflections Slide17

Jigsaw Concerns

Trouble getting students to participateI don’t understand what the student is sayingOnly a few students participate

How to handle mistakes (student

and teacher)

How do I keep the conversation going?Slide18

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Share with a partner

Make sure all components are present

Think about, reflect or practice how you will facilitate this problem

Create your own Math Talk based on

the following

PARCC

ProblemSlide20

Equality Game Formative TaskSlide21

Share with a partner

Make sure all components are present

Think about, reflect or practice how you will facilitate this problem

Create your own Math Talk based on a

problem from

a

PARCC Formative Task and

an upcoming lesson in your classroom Slide22

Re-engagement TasksRe-engagement is not Re-teaching. Re-teaching presents the same material again to a group of students. Re-engagement involves students thinking about mathematical concepts in a new way. Formative re-engaging lessons are directly tied to the results of formative assessments. They reengage students in the core mathematical ideas of the assessment task in order to deepen their understanding of the core math and build a better conceptual foundation to learn further mathematics.Slide23

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5th Grade Re-engagement Lesson VideoSlide25

Share with a partner

Think about, reflect or practice how you will facilitate this problemCreate your own Re-engagement Lesson

based on a PARCC Problem and an upcoming lesson in your classroom Slide26

ResourcesNumber Talks - Helping Children Build Mental Math and Computation Strategies (K-5), by Sherry ParrishMaking Number Talks Matter - Developing Mathematical Practices and Deepening Understanding, Grades 4-10, by Cathy Humphreys & Ruth Parker.Slide27

Mathematics Instructional Design, Delivery, and Assessments Pre PostI can use the Math Implementation Guides to drive curricular decisionsI can facilitate a number talk in a math classroom utilizing the IL Teach and

Talk I can assess using open-ended questions representative of the instructional shifts for Math I can embed the PARCC Formative Assessment Tasks here appropriate in my curriculum throughout the year I can use appropriate models of instruction in the K-2 classroom including mental strategies, manipulatives and elementary algorithms based on place value (K-2 only)Slide28

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Kindergarten

PARCCFormative TasksSlide30

Two Numbers Formative TaskSlide31

Pairs that make 10 Formative TaskSlide32

Grade 1

PARCCFormative TasksSlide33

Equality Game Formative TaskSlide34

Equality Game Formative TaskSlide35

Smart Calculator Formative TaskSlide36

Grade 2PARCCFormative TasksSlide37

Math Libs Formative TaskSlide38

Math Libs Formative TaskSlide39

One-Step Word Problems Formative TaskSlide40

One-Step Word Problems Formative Task